# 11 July 2019 – Evening-Shift (Quantitative Aptitude)

SSC CHSL (Tier – 1) Online Exam Paper – 2018 “held on 11 JULY 2019”

## Evening-Shift (Quantitative Aptitude)

Q1. If a + b + c = 5 and ab + bc + ca = 4, then a3 + b3 + c3 – 3abc is equal to:

Options:

1. 65
2. 62
3. 68
4. 72

Q2. If a = √8 – √7 and a = 1/b, then a2 + b2 – 3ab/a2 + ab + b2 is equal to:

Options:

1. 27/31
2. 27/32
3. 21/27
4. 32/27

Q3. Given that x, y, z are position real numbers, if (x + y)2 – z2 = 8, (y + z)2 – x2 = 10 & (x + z)2 – y2 = 7, then ( x + y + z) is equal to:

Options:

1. 8
2. 7
3. 3
4. 5

Q4. The simplified value of 20 – [2.8 x 5 ÷ 0.7 – 3 ÷ 0.9 x 1.5 + 2] is equal to:

Options:

1. 3
2. 3.5
3. 3.8
4. 2.5

Q5. The cost price of an article is Rs. 425. A shopkeeper gives a discount of 20% and still gains 16%. What is the marked price of the article?

Options:

1. 616.25
2. 616.75
3. 620.25
4. 620.75

Q6. The average of 24 numbers is 65. The average of first 11 numbers is 67 and the average of last 10 numbers is 70. If the 12th number is 13 less than the 13th number, and the 14th number is one more than the 13th number, then the average of 12th and 14th number is:

Options:

1. 42
2. 39
3. 36
4. 37

Q7. A, B & C alone can do a piece of work in 9, 12 & 18 days respectively. They all started the work together, but A left after 3 days. In how many days, was the remaining work completed?

Options:

1. 11/4
2. 9/5
3. 5/9
4. 4/11

Q8. If tanΘ = 3/5, (0° < Θ < 90°) then sinΘcosΘ is equal to:

Options:

1. 14/√34
2. 15/34
3. 14/√35
4. 34/15

Q9. In ▲ABC, ∠ABC = 90° and BD is perpendicular to AC. If AD = 4 cm and CD = 5 cm, then BD is equal to:

Options:

1. 2/√5 cm
2. 4/√5 cm
3. 3/√5 cm
4. 3/√6 cm

Q10. What is the ratio of the mean proportional between 14.4 and 3.6 and the third proportional of 5 and 4?

Options:

1. 6 : 5
2. 9 : 4
3. 3 : 5
4. 4 : 9

Q11. The given Bar Graph presents the percentages of population in the age groups, X, Y & Z in five different villages, A, B, C, D & E with total population of 5000, 6000, 8000, 4500 & 6000 respectively. The difference between the number of persons of ages below 20 years in villages D and E, taken together, is what percentage of the number of persons of the same age group in Village D?

Options:

1. 185/3
2. 200/3
3. 182/3
4. 190/3

Q12. The difference between compound interest and simple interest on Rs. x at 6.5% per annum for 2 years is Rs. 33.80. What is the value of x?

Options:

1. 7800
2. 7600
3. 8000
4. 8200

Q13. The given Bar Graph presents the percentages of population in the age groups, X, Y & Z in five different villages, A, B, C, D & E with total population of 5000, 6000, 8000, 4500 & 6000 respectively. The number of person having ages below 20 years in villages, B and C taken together is what percentage of the total population of the said villages?

Options:

1. 190/7
2. 186/5
3. 184/5
4. 200/7

Q14. The price of petrol is increased by 24%. A person wants to increase his expenditure by 14% only. By what percentage should he decrease his consumption in order to maintain the same level of expenditure?

Options:

1. 8.1
2. 8.3
3. 7.4
4. 7.6

Q15. The eight digit number 5x32465y is divisible by 88. What is the value of (2x + 3y)?

Options:

1. 24
2. 26
3. 28
4. 29

Q16. The selling price of 24 articles is to the cost price of 26 articles. What is the gain percentage in such a situation?

Options:

1. 25/3%
2. 26/5%
3. 105/13%
4. 100/3%

Q17. (sin236° + tan260° + sec230° + sin254°) is equal to:

Options:

1. 16/3
2. 14/3
3. 5
4. 17/3

Q18. The given Bar Graph presents the percentages of population in the age groups, X, Y & Z in five different villages, A, B, C, D & E with total population of 5000, 6000, 8000, 4500 & 6000 respectively. What is the ratio of the total number of persons of ages above 50 years in the villages, B and C, taken together to the total number of persons having ages between 20 and 50 years in the said villages?

Options:

1. 34 : 27
2. 49 : 57
3. 47 : 53
4. 51/ 59

Q19. In a circle, chords AD and BC meet at a point E outside the circle. If ∠BAE = 76° and ∠ADC = 102°, then ∠AEC is equal to:

Options:

1. 24°
2. 26°
3. 29°
4. 28°

Q20. Four cubes, each of edge 5 cm are joined end to end. What is the total surface area of the resulting cuboid?

Options:

1. 450 cm2
2. 600 cm2
3. 500 cm2
4. 475 cm2

Q21. If 2sin2Θ + 3sin – 2 = 0, (0° < Θ < 90°) then then the value of Θ is:

Options:

1. 45°
2. 30°
3. 60°
4. 90°

Q22. The given Bar Graph presents the percentages of population in the age groups, X, Y & Z in five different villages, A, B, C, D & E with total population of 5000, 6000, 8000, 4500 & 6000 respectively. What is the total number of persons in the age group of 20 to 50 years in the villages A and B, taken together?

Options:

1. 4100
2. 4200
3. 4300
4. 4400

Q23. A person covers 40% of a distance with a speed of 60 km/hr and the remaining with a speed of 40 km/hr. What is average speed for the whole journey in km/hr?

Options:

1. 600/11
2. 500/13
3. 500/11
4. 600/13

Q24. A quadrilateral ABCD is inscribed in a circle with centre O. If ∠BOC = 92° and ∠ADC = 112°, then ∠ABO is equal to:

Options:

1. 24°
2. 26°
3. 22°
4. 28°